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SCIENCE CHINA Mathematics, https://doi.org/10.1007/s11425-018-9427-6

Global well-posedness for the 2Dincompressible magneto-micropolar fluid system with partial viscosity

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  • ReceivedJun 28, 2018
  • AcceptedNov 14, 2018

Abstract

In this paper, we consider an initial-boundary value problem for the 2D incompressible magneto-micropolar fluid equations with zero magnetic diffusion and zero spin viscosity in the horizontally infinite flat layer with Navier-type boundary conditions. We establish the global well-posedness of strong solutions around the equilibrium $(0,e_1,0)$.


Acknowledgment

The first author was supported by National Natural Science Foundation of China (Grant No. 11701049), the China Postdoctoral Science Foundation (Grant No. 2017M622989) and the Opening Fund of Geomathematics Key Laboratory of Sichuan Province (Grant No. scsxdz201707). The second author was supported by National Natural Science Foundation of China (Grant Nos. 11571063 and 11771045). The authors are very grateful to the referees for their detailed comments and helpful suggestions, which greatly improved the manuscript, and to Professor Lili Du for suggesting this problem.


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